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Finding the Fourth Proportional to 5,200.05, 7,800.30 and 4,830.99

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Solution

The fourth proportional to 5,200.05, 7,800.30 and 4,830.99 is: 7,246.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.05 : 7,800.30 = 4,830.99 : x
  2. Step 2: Convert to fraction form
    5,200.05/7,800.30 = 4,830.99/x
  3. Step 3: Cross multiply
    5,200.05x = 7,800.30 × 4,830.99
  4. Step 4: Simplify right side
    5,200.05x = 37,683,185.92
  5. Step 5: Solve for x
    x = 37,683,185.92/5,200.05
  6. Step 6: Final answer
    x = 7,246.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.